9885567840 has 96 divisors (see below), whose sum is σ = 31177923840. Its totient is φ = 2632902144.

The previous prime is 9885567799. The next prime is 9885567871. The reversal of 9885567840 is 487655889.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390447 + ... + 414993.

It is an arithmetic number, because the mean of its divisors is an integer number (324770040).

Almost surely, 2^9885567840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9885567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588961920).

9885567840 is an abundant number, since it is smaller than the sum of its proper divisors (21292356000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9885567840 is a wasteful number, since it uses less digits than its factorization.

9885567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25404 (or 25396 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The square root of 9885567840 is about 99426.1929272161. The cubic root of 9885567840 is about 2146.1852556946.

The spelling of 9885567840 in words is "nine billion, eight hundred eighty-five million, five hundred sixty-seven thousand, eight hundred forty".